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The opponent spreads 9 units over 8 districts as evenly as possible, in positions unknown to you. What is the least funding with which some allocation of yours could win?

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There are 8 districts and the opponent has 9 units of funds, spread as evenly as possible (one district gets 2 and seven get 1, in positions unknown to you). In each district the larger allocation wins it, ties are neutral, and whoever wins more districts wins the election. What is the least funding you need so that some allocation of yours could win the election?

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You and an opponent each split 4 units of funds over 3 districts, and the larger share wins a district. Against a uniformly random opponent, which split is best and which is worst?

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